Evaluate the expression shown below and write your answer as a mixed number in simplest form: 1 1/2 times -4 2/5
To evaluate the expression 1 1/2 times -4 2/5, we can first convert the mixed numbers into improper fractions:
1 1/2 = (2*1 + 1)/2 = 3/2
-4 2/5 = (5*(-4) + 2)/5 = -18/5
Next, we multiply the fractions:
(3/2) * (-18/5) = (3*(-18))/(2*5) = -54/10
To simplify the fraction -54/10, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:
(-54/10) ÷ 2/2 = -27/5
Therefore, the answer is -27/5, which can also be written as a mixed number in simplest form as -5 2/5.